Research
I am passionate about computational neuroscience and machine learning, and computational biology more broadly.
I am interested in how information is stored, extended and retrieved in neural networks in the brain.
I am also interested in modeling network dysfunction, and restoring healthy functioning by correcting network imbalances.
In my work I use computational modeling together with tools from across machine learning, information engineering,
signal processing and statistics. I enjoy working across disciplines.
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Linking task-structure and neural network dynamics
C. D. Márton,
Siyan Zhou,
Kanaka Rajan
Nature Neuroscience, 2022
The solutions found by neural networks to solve a task are often inscrutable.
We have little insight into why a particular structure emerges in a network.
By reverse engineering neural networks from dynamical principles, Dubreuil, Valente et al.
show how neural population structure enables computational flexibility.
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Reservoir-based tracking (TRAKR) for one-shot classification of neural time-series patterns
Furqan Afzal*,
C. D. Márton*,
Kanaka Rajan
bioRxiv, 2021 * Contributed equally.
It remains challenging to correctly distinguish nonlinear time-series patterns because of the high intrinsic dimensionality
of such data. We introduce a reservoir-based tool, state tracker (TRAKR), which provides the
high accuracy of ensembles or deep supervised methods while preserving the benefits of
simple distance metrics in being applicable to single examples of training data (one-shot classification).
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Efficient and robust multi-task learning with modular latent primitives.
C. D. Márton,
Leo Gagnon,
Guillaume Lajoie,
Kanaka Rajan
arXiv, 2021
Combining brain-inspired inductive biases we call functional and structural, we propose a system that learns new tasks by building on top of pre-trained
latent dynamics organised into separate recurrent modules. The resulting model, we call a Modular Latent Primitives
(MoLaP) network, allows for learning multiple tasks effectively while keeping parameter counts, and updates, low.
We also show that the skills acquired with our approach are more robust to a broad range of perturbations
compared to those acquired with other multi-task learning strategies, and that generalisation to new tasks is facilitated.
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Learning to select actions shapes recurrent dynamics in the corticostriatal system
C. D. Márton,
Simon R. Schultz,
Bruno B. Averbeck
Neural Networks, 2020 /
bioRxiv
Learning to select appropriate actions based on their values is fundamental to adaptive behavior.
This form of learning is supported by fronto-striatal systems. The computational mechanisms that
shape the neurophysiological responses, however, are not clear. To examine this, we developed a
recurrent neural network (RNN) model of the dlPFC-dSTR circuit and trained it on an oculomotor
sequence learning task.
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Signature patterns for top-down and bottom-up information processing via
cross-frequency coupling in macaque auditory cortex
C. D. Márton,
Makoto Fukushima,
Corrie R. Camalier,
Simon R. Schultz,
Bruno B. Averbeck
eNeuro , 2019 /
bioRxiv
The brain consists of highly interconnected cortical areas, yet the patterns in directional
cortical communication are not fully understood, in particular with regards to interactions
between different signal components across frequencies. We developed a a unified, computationally
advantageous Granger-causal framework and used it to examine bi-directional cross-frequency interactions
across four sectors of the auditory cortical hierarchy in macaques. Our findings extend the view
of cross-frequency interactions in auditory cortex, suggesting they also play a prominent role in
top-down processing.
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Blog Posts / Side projects
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Predict prices of Gerhard Richter paintings
Colab, 2021
Tired of grappling with art so abstract it makes the most obstinate Sotheby's appraiser cringe?
Worry no more.
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How to be less anxious amidst a changing world
Medium, 2020
The world keeps turning, the clock never stops, and I just want to do the most optimal thing.
So the faster I figure out myself, the sooner I can get started to do what matters. We often hear
sentences like “Be the best you can be”, “Know thyself”, “Travelling makes you grow”, “Stay on your
path”, or “Be more conscious of yourself”. This article will try to attack platitudes head-on and
provide some soothing answers, like a pill popped quickly, but less addictive and hopefully more everlasting.
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Principles of computation in neural networks, real and artificial
Medium, 2018
Can we discern fundamental computational principles by which neural networks operate in the brain?
By connecting individual brushstrokes into meaningful wholes, this article will strive to generate
insight into how things might fit together.
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Heart Rhythm Society, New Orleans 2023,
"Proof-of-Concept Forward-Solution Mapping of a Focal Atrial Tachycardia Origin Using the Outpatient 12-Lead Electrocardiogram."
Taylor I. Liu,
Christopher T. Villongco,
Averee Chang,
Chieh-I Chen,
Prateek Bhatnagar,
Christopher Schulte,
Lee Kirkland,
Nick Aiello,
C. D. Márton,
Gordon Ho,
David E. Krummen
FENS Dynamics of the brain, Denmark 2019
"Learning actions and values shapes recurrent dynamics in the corticostriatal system."
C. D. Márton,
Simon R. Schultz,
Bruno B. Averbeck
Society for Neuroscience (SFN), San Diego 2018,
"Task representation & learning in prefrontal cortex & striatum as a dynamical system."
C. D. Márton,
Simon R. Schultz,
Bruno B. Averbeck
Bernstein Computational Neuroscience Conference, Berlin 2018,
"Learning in prefrontal cortex & striatum through shaping of recurrent dynamics"
Travel Grant Award,
Talk in workshop on "Emergent function in non-random neural networks"
C. D. Márton,
Simon R. Schultz,
Bruno B. Averbeck
Society for Neuroscience (SFN), Washington D.C. 2017,
"High accuracy categorization of macaque identities and call types with convolutional neural networks."
C. D. Márton,
Makoto Fukushima,
Simon R. Schultz,
Bruno B. Averbeck
Society for Neuroscience (SFN), San Diego 2016,
"Top-down and bottom-up control through distinct phase-amplitude couplings in the macaque auditory cortex."
C. D. Márton,
Makoto Fukushima,
Simon R. Schultz,
Bruno B. Averbeck
Brain Informatics & Health Conference (BIH), London 2015,
"Markov stability partitioning shows spectrally dependent community structure amongst thalamocortical neural ensembles."
C. D. Márton,
Silvia A. Jimenez,
Simon R. Schultz,
Organization for Computational Neuroscience (OCNS) Conference, Prague 2015,
"Revealing community structure amongst thalamocortical neural ensembles through markov stability partitioning."
C. D. Márton,
Silvia A. Jimenez,
Simon R. Schultz,
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Reviewer
Plos Comp Bio, Nature Machine Intelligence, Cosyne, Neuromatch Academy, eNeuro, JNeurosci
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Shout Out
For mind-bending language games,
my dad's imagescapes (newest & latest, in the universal language of imagery: Nachhalltige Gedichte,
MANUSKRIPT: 1),
book of tales (in German: Die Traumfrau: 16 Immagische Erzählungen / J'aime),
poems (in German, among others: Besos oder J'aime: 101 Gedichte,
AdOro - J'aime: Gedichte)
and youthful reminiscences (in Hungarian: Pitch utazásai I,
Zetelaki Halastó: Pitch utazásai II,
Tördénelem: Pitch utazásai III)
To get a flavor, see these two poem recitals: Der Boden rast &
Lass ihn träumen
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